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23020144000 = 27537205537
BaseRepresentation
bin10101011100000110…
…111000010110000000
32012102022110110221221
4111130012320112000
5334121124102000
614324133324424
71443313665310
oct253406702600
965368413857
1023020144000
1198432a89a7
124565496714
13222b2c2ca9
141185453440
158eae8d61a
hex55c1b8580

23020144000 has 128 divisors (see below), whose sum is σ = 65410413120. Its totient is φ = 7892582400.

The previous prime is 23020143977. The next prime is 23020144061. The reversal of 23020144000 is 44102032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9232 + ... + 214768.

Almost surely, 223020144000 is an apocalyptic number.

23020144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23020144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32705206560).

23020144000 is an abundant number, since it is smaller than the sum of its proper divisors (42390269120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23020144000 is an equidigital number, since it uses as much as digits as its factorization.

23020144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205573 (or 205551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23020144000 its reverse (44102032), we get a palindrome (23064246032).

The spelling of 23020144000 in words is "twenty-three billion, twenty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 205537 411074 822148 1027685 1438759 1644296 2055370 2877518 3288592 4110740 5138425 5755036 6577184 7193795 8221480 10276850 11510072 13154368 14387590 16442960 20553700 23020144 25692125 26308736 28775180 32885920 35968975 41107400 46040288 51384250 57550360 65771840 71937950 82214800 92080576 102768500 115100720 131543680 143875900 164429600 179844875 184161152 205537000 230201440 287751800 328859200 359689750 411074000 460402880 575503600 657718400 719379500 822148000 920805760 1151007200 1438759000 1644296000 2302014400 2877518000 3288592000 4604028800 5755036000 11510072000 23020144000